Properties

Label 15246k
Number of curves $1$
Conductor $15246$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("k1")
 
E.isogeny_class()
 

Elliptic curves in class 15246k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
15246.k1 15246k1 \([1, -1, 0, 5670, -261068]\) \(228516153239/462422016\) \(-40789783609344\) \([]\) \(30720\) \(1.2960\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 15246k1 has rank \(1\).

Complex multiplication

The elliptic curves in class 15246k do not have complex multiplication.

Modular form 15246.2.a.k

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} - q^{7} - q^{8} + q^{10} + q^{13} + q^{14} + q^{16} + 3 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display